4227983046144 has 640 divisors, whose sum is σ = 14889746995200. Its totient is φ = 1167639183360.

The previous prime is 4227983046073. The next prime is 4227983046191. The reversal of 4227983046144 is 4416403897224.

4227983046144 is a `hidden beast` number, since 4 + 2 + 27 + 98 + 30 + 461 + 44 = 666.

4227983046144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156156192 + ... + 156183264.

It is an arithmetic number, because the mean of its divisors is an integer number (23265229680).

Almost surely, 2^{4227983046144} is an apocalyptic number.

4227983046144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4227983046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7444873497600).

4227983046144 is an abundant number, since it is smaller than the sum of its proper divisors (10661763949056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4227983046144 is a wasteful number, since it uses less digits than its factorization.

4227983046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27203 (or 27181 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4227983046144 in words is "four trillion, two hundred twenty-seven billion, nine hundred eighty-three million, forty-six thousand, one hundred forty-four".